Respuesta :
Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells.
Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells
Answer:
Kathie needs more than 5 days to get over 100 shells
The required inequality is [tex]34 + 12d > 100[/tex]
Solution:
Given that,
Katie wants to collect over 100 seashells.
She already has 34 seashells in her collection.
Each day, she finds 12 more seashells on the beach
Let "d" be the number of days she takes to cover 100 sea shells
From given statement,
She finds 12 seashells each day
Then for "d" days, the number of sea shells she collected is 12d
She already had = 34
So, the equation can be framed as:
[tex]34 + 12d > 100[/tex]
Here we used "greater than" symbol, since she wants to collect over 100 seashells
Solve the inequality
[tex]12d >100-34\\\\12d>66\\\\d>\frac{66}{12}\\\\d>5.5[/tex]
This means she won't have more than 100 shells until the 6th day
Thus she needs more than 5 days to get over 100 shells
